11631648 has 96 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 3144960.

The previous prime is 11631647. The next prime is 11631713. The reversal of 11631648 is 84613611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11631643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12313 + ... + 13223.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 2^11631648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11631648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

11631648 is an abundant number, since it is smaller than the sum of its proper divisors (25140192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11631648 is a wasteful number, since it uses less digits than its factorization.

11631648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 942 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 11631648 is about 3410.5201949263. The cubic root of 11631648 is about 226.5759190752.

The spelling of 11631648 in words is "eleven million, six hundred thirty-one thousand, six hundred forty-eight".